TSTP Solution File: HWV008-1.002 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : HWV008-1.002 : TPTP v8.1.0. Bugfixed v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 13:11:37 EDT 2022
% Result : Unsatisfiable 0.68s 1.10s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV008-1.002 : TPTP v8.1.0. Bugfixed v2.2.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Thu Jun 16 21:26:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.68/1.10 *** allocated 10000 integers for termspace/termends
% 0.68/1.10 *** allocated 10000 integers for clauses
% 0.68/1.10 *** allocated 10000 integers for justifications
% 0.68/1.10 Bliksem 1.12
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 Automatic Strategy Selection
% 0.68/1.10
% 0.68/1.10 Clauses:
% 0.68/1.10 [
% 0.68/1.10 [ ~( connection( X, Y ) ), ~( value( X, Z ) ), value( Y, Z ) ],
% 0.68/1.10 [ ~( connection( X, Y ) ), ~( value( Y, Z ) ), value( X, Z ) ],
% 0.68/1.10 [ ~( value( X, Y ) ), ~( value( X, Z ) ), 'equal_value'( Y, Z ) ],
% 0.68/1.10 [ ~( 'equal_value'( n0, n1 ) ) ],
% 0.68/1.10 [ ~( 'equal_value'( n1, n0 ) ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( mode( X, abnormal ) ) ],
% 0.68/1.10 [ ~( type( X, Y ) ), mode( X, ok ), mode( X, abnormal ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( Y, X ), n0 ) )
% 0.68/1.10 , value( out( n1, X ), n0 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( n1, X ), n1 ) )
% 0.68/1.10 , ~( value( in( n2, X ), n1 ) ), value( out( n1, X ), n1 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1, X ), n0 )
% 0.68/1.10 ), value( in( n1, X ), n0 ), value( in( n2, X ), n0 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1, X ), n1 )
% 0.68/1.10 ), value( in( n1, X ), n1 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1, X ), n1 )
% 0.68/1.10 ), value( in( n2, X ), n1 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( Y, X ), n1 ) ),
% 0.68/1.10 value( out( n1, X ), n1 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( n1, X ), n0 ) )
% 0.68/1.10 , ~( value( in( n2, X ), n0 ) ), value( out( n1, X ), n0 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1, X ), n1 ) )
% 0.68/1.10 , value( in( n1, X ), n1 ), value( in( n2, X ), n1 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1, X ), n0 ) )
% 0.68/1.10 , value( in( n1, X ), n0 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1, X ), n0 ) )
% 0.68/1.10 , value( in( n2, X ), n0 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1, X ), n0 ) )
% 0.68/1.10 , value( out( n1, X ), n1 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1, X ), n1 ) )
% 0.68/1.10 , value( out( n1, X ), n0 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1, X ), n0 )
% 0.68/1.10 ), value( in( n1, X ), n1 ) ],
% 0.68/1.10 [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1, X ), n1 )
% 0.68/1.10 ), value( in( n1, X ), n0 ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), type( and1( X ), and ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), type( and2( X ), and ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), type( not1( X ), not ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), type( or1( X ), or ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1, or1( X ) )
% 0.68/1.10 ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2, or1( X ) )
% 0.68/1.10 ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1, and2( X )
% 0.68/1.10 ) ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2, and2( X )
% 0.68/1.10 ) ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), connection( out( s, X ), out( n1, and1( X )
% 0.68/1.10 ) ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), connection( out( c, X ), out( n1, and2( X )
% 0.68/1.10 ) ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), connection( out( n1, or1( X ) ), in( n1,
% 0.68/1.10 and1( X ) ) ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), connection( out( n1, and2( X ) ), in( n1,
% 0.68/1.10 not1( X ) ) ) ],
% 0.68/1.10 [ ~( type( X, halfadder ) ), connection( out( n1, not1( X ) ), in( n2,
% 0.68/1.10 and1( X ) ) ) ],
% 0.68/1.10 [ ~( type( X, fulladder ) ), type( h1( X ), halfadder ) ],
% 0.68/1.10 [ ~( type( X, fulladder ) ), type( h2( X ), halfadder ) ],
% 0.68/1.10 [ ~( type( X, fulladder ) ), type( or1( X ), or ) ],
% 0.68/1.10 [ ~( type( X, fulladder ) ), connection( out( s, h1( X ) ), in( n2, h2(
% 0.68/1.10 X ) ) ) ],
% 0.68/1.10 [ ~( type( X, fulladder ) ), connection( out( c, h1( X ) ), in( n2, or1(
% 0.68/1.10 X ) ) ) ],
% 0.68/1.10 [ ~( type( X, fulladder ) ), connection( out( c, h2( X ) ), in( n1, or1(
% 0.68/1.10 X ) ) ) ],
% 0.68/1.10 [ ~( type( X, fulladder ) ), connection( in( n1, X ), in( n1, h2( X ) )
% 0.68/1.10 ) ],
% 0.68/1.10 [ ~( type( X, fulladder ) ), connection( in( n2, X ), in( n1, h1( X ) )
% 0.68/1.10 ) ],
% 0.68/1.10 [ ~( type( X, fulladder ) ), connection( in( c, X ), in( n2, h1( X ) ) )
% 0.68/1.10 ],
% 0.68/1.10 [ ~( type( X, fulladder ) ), connection( out( s, X ), out( s, h2( X ) )
% 0.68/1.10 ) ],
% 0.68/1.10 [ ~( type( X, fulladder ) ), connection( out( c, X ), out( n1, or1( X )
% 0.68/1.10 ) ) ],
% 0.68/1.10 [ ~( type( X, 'nbit_adder'( n2 ) ) ), type( f( n1, X ), fulladder ) ]
% 0.68/1.10 ,
% 0.68/1.10 [ ~( type( X, 'nbit_adder'( n2 ) ) ), type( f( n2, X ), fulladder ) ]
% 0.68/1.10 ,
% 0.68/1.10 [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( out( n1, X ), out( n1
% 0.68/1.10 , f( n1, X ) ) ) ],
% 0.68/1.10 [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( out( n2, X ), out( n1
% 0.68/1.10 , f( n2, X ) ) ) ],
% 0.68/1.10 [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( out( c, X ), out( c, f(
% 0.68/1.10 n2, X ) ) ) ],
% 0.68/1.10 [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( a1, X ), in( n1, f(
% 0.68/1.10 n1, X ) ) ) ],
% 0.68/1.10 [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( b1, X ), in( n2, f(
% 0.68/1.10 n1, X ) ) ) ],
% 0.68/1.10 [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( a2, X ), in( n1, f(
% 0.68/1.10 n2, X ) ) ) ],
% 0.68/1.10 [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( b2, X ), in( n2, f(
% 0.68/1.10 n2, X ) ) ) ],
% 0.68/1.10 [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( out( c, f( n1, X ) ),
% 0.68/1.10 in( c, f( n2, X ) ) ) ],
% 0.68/1.10 [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( c, X ), in( c, f(
% 0.68/1.10 n1, X ) ) ) ],
% 0.68/1.10 [ type( a, 'nbit_adder'( n2 ) ) ],
% 0.68/1.10 [ value( in( a1, a ), n0 ) ],
% 0.68/1.10 [ value( in( a2, a ), n0 ) ],
% 0.68/1.10 [ value( in( b1, a ), n0 ) ],
% 0.68/1.10 [ value( in( b2, a ), n0 ) ],
% 0.68/1.10 [ value( in( c, a ), n0 ) ],
% 0.68/1.10 [ value( out( n1, a ), n0 ) ],
% 0.68/1.10 [ value( out( n2, a ), n0 ) ],
% 0.68/1.10 [ value( out( c, a ), n1 ) ],
% 0.68/1.10 [ ~( mode( or1( f( n2, a ) ), abnormal ) ) ],
% 0.68/1.10 [ ~( mode( and2( h1( f( n2, a ) ) ), abnormal ) ) ],
% 0.68/1.10 [ ~( mode( and2( h2( f( n2, a ) ) ), abnormal ) ) ]
% 0.68/1.10 ] .
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 percentage equality = 0.000000, percentage horn = 0.955882
% 0.68/1.10 This is a near-Horn, non-equality problem
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 Options Used:
% 0.68/1.10
% 0.68/1.10 useres = 1
% 0.68/1.10 useparamod = 0
% 0.68/1.10 useeqrefl = 0
% 0.68/1.10 useeqfact = 0
% 0.68/1.10 usefactor = 1
% 0.68/1.10 usesimpsplitting = 0
% 0.68/1.10 usesimpdemod = 0
% 0.68/1.10 usesimpres = 4
% 0.68/1.10
% 0.68/1.10 resimpinuse = 1000
% 0.68/1.10 resimpclauses = 20000
% 0.68/1.10 substype = standard
% 0.68/1.10 backwardsubs = 1
% 0.68/1.10 selectoldest = 5
% 0.68/1.10
% 0.68/1.10 litorderings [0] = split
% 0.68/1.10 litorderings [1] = liftord
% 0.68/1.10
% 0.68/1.10 termordering = none
% 0.68/1.10
% 0.68/1.10 litapriori = 1
% 0.68/1.10 termapriori = 0
% 0.68/1.10 litaposteriori = 0
% 0.68/1.10 termaposteriori = 0
% 0.68/1.10 demodaposteriori = 0
% 0.68/1.10 ordereqreflfact = 0
% 0.68/1.10
% 0.68/1.10 litselect = negative
% 0.68/1.10
% 0.68/1.10 maxweight = 30000
% 0.68/1.10 maxdepth = 30000
% 0.68/1.10 maxlength = 115
% 0.68/1.10 maxnrvars = 195
% 0.68/1.10 excuselevel = 0
% 0.68/1.10 increasemaxweight = 0
% 0.68/1.10
% 0.68/1.10 maxselected = 10000000
% 0.68/1.10 maxnrclauses = 10000000
% 0.68/1.10
% 0.68/1.10 showgenerated = 0
% 0.68/1.10 showkept = 0
% 0.68/1.10 showselected = 0
% 0.68/1.10 showdeleted = 0
% 0.68/1.10 showresimp = 1
% 0.68/1.10 showstatus = 2000
% 0.68/1.10
% 0.68/1.10 prologoutput = 1
% 0.68/1.10 nrgoals = 5000000
% 0.68/1.10 totalproof = 1
% 0.68/1.10
% 0.68/1.10 Symbols occurring in the translation:
% 0.68/1.10
% 0.68/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.68/1.10 . [1, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.68/1.10 ! [4, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.68/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.68/1.10 connection [41, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.68/1.10 value [43, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.68/1.10 'equal_value' [47, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.68/1.10 n0 [48, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.68/1.10 n1 [49, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.68/1.10 ok [51, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.68/1.10 mode [52, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.68/1.10 abnormal [53, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.68/1.10 type [55, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.68/1.10 and [56, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.68/1.10 in [57, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.68/1.10 out [58, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.68/1.10 n2 [59, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.68/1.10 or [60, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.68/1.10 not [61, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.68/1.10 halfadder [63, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.68/1.10 and1 [64, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.68/1.10 and2 [65, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.68/1.10 not1 [66, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.68/1.10 or1 [67, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.68/1.10 s [68, 0] (w:1, o:5, a:1, s:1, b:0),
% 0.68/1.10 c [69, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.68/1.10 fulladder [70, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.68/1.10 h1 [71, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.68/1.10 h2 [72, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.68/1.10 'nbit_adder' [73, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.68/1.10 f [74, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.68/1.10 a1 [75, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.68/1.10 b1 [76, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.68/1.10 a2 [77, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.68/1.10 b2 [78, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.68/1.10 a [79, 0] (w:1, o:29, a:1, s:1, b:0).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 Starting Search:
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 Bliksems!, er is een bewijs:
% 0.68/1.10 % SZS status Unsatisfiable
% 0.68/1.10 % SZS output start Refutation
% 0.68/1.10
% 0.68/1.10 clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.10 )
% 0.68/1.10 .
% 0.68/1.10 clause( 1, [ ~( value( Y, Z ) ), value( X, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.10 )
% 0.68/1.10 .
% 0.68/1.10 clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z ) )
% 0.68/1.10 ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 4, [ ~( 'equal_value'( n1, n0 ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 7, [ ~( mode( X, ok ) ), ~( type( X, and ) ), value( out( n1, X ),
% 0.68/1.10 n0 ), ~( value( in( Y, X ), n0 ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 14, [ ~( mode( X, ok ) ), ~( type( X, or ) ), value( in( n1, X ),
% 0.68/1.10 n1 ), value( in( n2, X ), n1 ), ~( value( out( n1, X ), n1 ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 22, [ type( and2( X ), and ), ~( type( X, halfadder ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 27, [ connection( in( n1, X ), in( n1, and2( X ) ) ), ~( type( X,
% 0.68/1.10 halfadder ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 30, [ connection( out( c, X ), out( n1, and2( X ) ) ), ~( type( X,
% 0.68/1.10 halfadder ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 34, [ type( h1( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 35, [ type( h2( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 36, [ type( or1( X ), or ), ~( type( X, fulladder ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 38, [ connection( out( c, h1( X ) ), in( n2, or1( X ) ) ), ~( type(
% 0.68/1.10 X, fulladder ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 39, [ connection( out( c, h2( X ) ), in( n1, or1( X ) ) ), ~( type(
% 0.68/1.10 X, fulladder ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 40, [ connection( in( n1, X ), in( n1, h2( X ) ) ), ~( type( X,
% 0.68/1.10 fulladder ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 41, [ connection( in( n2, X ), in( n1, h1( X ) ) ), ~( type( X,
% 0.68/1.10 fulladder ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 44, [ connection( out( c, X ), out( n1, or1( X ) ) ), ~( type( X,
% 0.68/1.10 fulladder ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 46, [ type( f( n2, X ), fulladder ), ~( type( X, 'nbit_adder'( n2 )
% 0.68/1.10 ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 49, [ connection( out( c, X ), out( c, f( n2, X ) ) ), ~( type( X,
% 0.68/1.10 'nbit_adder'( n2 ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 52, [ connection( in( a2, X ), in( n1, f( n2, X ) ) ), ~( type( X,
% 0.68/1.10 'nbit_adder'( n2 ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 53, [ connection( in( b2, X ), in( n2, f( n2, X ) ) ), ~( type( X,
% 0.68/1.10 'nbit_adder'( n2 ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 56, [ type( a, 'nbit_adder'( n2 ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 58, [ value( in( a2, a ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 60, [ value( in( b2, a ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 64, [ value( out( c, a ), n1 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 65, [ ~( mode( or1( f( n2, a ) ), abnormal ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 66, [ ~( mode( and2( h1( f( n2, a ) ) ), abnormal ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 67, [ ~( mode( and2( h2( f( n2, a ) ) ), abnormal ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 81, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 82, [ type( h1( f( n2, a ) ), halfadder ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 83, [ type( h2( f( n2, a ) ), halfadder ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 85, [ type( or1( f( n2, a ) ), or ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 87, [ type( and2( h1( f( n2, a ) ) ), and ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 92, [ type( and2( h2( f( n2, a ) ) ), and ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 96, [ mode( or1( f( n2, a ) ), ok ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 98, [ mode( and2( h2( f( n2, a ) ) ), ok ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 102, [ mode( and2( h1( f( n2, a ) ) ), ok ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 132, [ connection( out( c, f( n2, a ) ), out( n1, or1( f( n2, a ) )
% 0.68/1.10 ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 138, [ connection( in( n2, f( n2, a ) ), in( n1, h1( f( n2, a ) ) )
% 0.68/1.10 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 141, [ connection( in( n1, f( n2, a ) ), in( n1, h2( f( n2, a ) ) )
% 0.68/1.10 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 144, [ connection( out( c, h2( f( n2, a ) ) ), out( n1, and2( h2( f(
% 0.68/1.10 n2, a ) ) ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 145, [ connection( out( c, h1( f( n2, a ) ) ), out( n1, and2( h1( f(
% 0.68/1.10 n2, a ) ) ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 156, [ connection( in( n1, h2( f( n2, a ) ) ), in( n1, and2( h2( f(
% 0.68/1.10 n2, a ) ) ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 157, [ connection( in( n1, h1( f( n2, a ) ) ), in( n1, and2( h1( f(
% 0.68/1.10 n2, a ) ) ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 177, [ value( in( n1, h2( f( n2, a ) ) ), X ), ~( value( in( n1, f(
% 0.68/1.10 n2, a ) ), X ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 181, [ value( in( n1, h1( f( n2, a ) ) ), X ), ~( value( in( n2, f(
% 0.68/1.10 n2, a ) ), X ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 199, [ value( out( n1, or1( f( n2, a ) ) ), X ), ~( value( out( c,
% 0.68/1.10 f( n2, a ) ), X ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 201, [ connection( out( c, h1( f( n2, a ) ) ), in( n2, or1( f( n2,
% 0.68/1.10 a ) ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 203, [ connection( out( c, h2( f( n2, a ) ) ), in( n1, or1( f( n2,
% 0.68/1.10 a ) ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 207, [ value( in( n1, or1( f( n2, a ) ) ), X ), ~( value( out( c,
% 0.68/1.10 h2( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 221, [ connection( out( c, a ), out( c, f( n2, a ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 228, [ value( out( c, f( n2, a ) ), X ), ~( value( out( c, a ), X )
% 0.68/1.10 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 239, [ connection( in( a2, a ), in( n1, f( n2, a ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 242, [ value( in( n1, f( n2, a ) ), X ), ~( value( in( a2, a ), X )
% 0.68/1.10 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 243, [ connection( in( b2, a ), in( n2, f( n2, a ) ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 245, [ value( in( n2, f( n2, a ) ), X ), ~( value( in( b2, a ), X )
% 0.68/1.10 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 246, [ value( in( n2, f( n2, a ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 251, [ value( in( n1, f( n2, a ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 259, [ value( out( c, f( n2, a ) ), n1 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 264, [ value( in( n2, or1( f( n2, a ) ) ), X ), ~( value( out( c,
% 0.68/1.10 h1( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 291, [ value( out( c, h2( f( n2, a ) ) ), X ), ~( value( out( n1,
% 0.68/1.10 and2( h2( f( n2, a ) ) ) ), X ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 296, [ value( in( n1, and2( h2( f( n2, a ) ) ) ), X ), ~( value( in(
% 0.68/1.10 n1, h2( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 298, [ value( in( n1, and2( h1( f( n2, a ) ) ) ), X ), ~( value( in(
% 0.68/1.10 n1, h1( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 301, [ value( out( c, h1( f( n2, a ) ) ), X ), ~( value( out( n1,
% 0.68/1.10 and2( h1( f( n2, a ) ) ) ), X ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 341, [ value( out( n1, or1( f( n2, a ) ) ), n1 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 343, [ value( in( n1, or1( f( n2, a ) ) ), n1 ), value( in( n2, or1(
% 0.68/1.10 f( n2, a ) ) ), n1 ), ~( type( or1( f( n2, a ) ), or ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 352, [ value( in( n1, h2( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 364, [ value( in( n1, h1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 372, [ value( in( n1, and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 375, [ value( out( n1, and2( h1( f( n2, a ) ) ) ), n0 ), ~( type(
% 0.68/1.10 and2( h1( f( n2, a ) ) ), and ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 377, [ value( out( n1, and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 378, [ value( out( c, h1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 382, [ value( in( n2, or1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 385, [ 'equal_value'( X, n0 ), ~( value( in( n2, or1( f( n2, a ) )
% 0.68/1.10 ), X ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 386, [ value( in( n1, and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 389, [ value( out( n1, and2( h2( f( n2, a ) ) ) ), n0 ), ~( type(
% 0.68/1.10 and2( h2( f( n2, a ) ) ), and ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 391, [ value( out( n1, and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 403, [ value( out( c, h2( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 404, [ value( in( n1, or1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 407, [ 'equal_value'( X, n0 ), ~( value( in( n1, or1( f( n2, a ) )
% 0.68/1.10 ), X ) ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 440, [ value( in( n2, or1( f( n2, a ) ) ), n1 ), value( in( n1, or1(
% 0.68/1.10 f( n2, a ) ) ), n1 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 441, [ 'equal_value'( n1, n0 ) ] )
% 0.68/1.10 .
% 0.68/1.10 clause( 445, [] )
% 0.68/1.10 .
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 % SZS output end Refutation
% 0.68/1.10 found a proof!
% 0.68/1.10
% 0.68/1.10 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.10
% 0.68/1.10 initialclauses(
% 0.68/1.10 [ clause( 447, [ ~( connection( X, Y ) ), ~( value( X, Z ) ), value( Y, Z )
% 0.68/1.10 ] )
% 0.68/1.10 , clause( 448, [ ~( connection( X, Y ) ), ~( value( Y, Z ) ), value( X, Z )
% 0.68/1.10 ] )
% 0.68/1.10 , clause( 449, [ ~( value( X, Y ) ), ~( value( X, Z ) ), 'equal_value'( Y,
% 0.68/1.10 Z ) ] )
% 0.68/1.10 , clause( 450, [ ~( 'equal_value'( n0, n1 ) ) ] )
% 0.68/1.10 , clause( 451, [ ~( 'equal_value'( n1, n0 ) ) ] )
% 0.68/1.10 , clause( 452, [ ~( mode( X, ok ) ), ~( mode( X, abnormal ) ) ] )
% 0.68/1.10 , clause( 453, [ ~( type( X, Y ) ), mode( X, ok ), mode( X, abnormal ) ] )
% 0.68/1.10 , clause( 454, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( Y,
% 0.68/1.10 X ), n0 ) ), value( out( n1, X ), n0 ) ] )
% 0.68/1.10 , clause( 455, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( n1
% 0.68/1.10 , X ), n1 ) ), ~( value( in( n2, X ), n1 ) ), value( out( n1, X ), n1 ) ]
% 0.68/1.10 )
% 0.68/1.10 , clause( 456, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1
% 0.68/1.10 , X ), n0 ) ), value( in( n1, X ), n0 ), value( in( n2, X ), n0 ) ] )
% 0.68/1.10 , clause( 457, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1
% 0.68/1.10 , X ), n1 ) ), value( in( n1, X ), n1 ) ] )
% 0.68/1.10 , clause( 458, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( out( n1
% 0.68/1.10 , X ), n1 ) ), value( in( n2, X ), n1 ) ] )
% 0.68/1.10 , clause( 459, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( Y, X
% 0.68/1.10 ), n1 ) ), value( out( n1, X ), n1 ) ] )
% 0.68/1.10 , clause( 460, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( in( n1,
% 0.68/1.10 X ), n0 ) ), ~( value( in( n2, X ), n0 ) ), value( out( n1, X ), n0 ) ]
% 0.68/1.10 )
% 0.68/1.10 , clause( 461, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1
% 0.68/1.10 , X ), n1 ) ), value( in( n1, X ), n1 ), value( in( n2, X ), n1 ) ] )
% 0.68/1.10 , clause( 462, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1
% 0.68/1.10 , X ), n0 ) ), value( in( n1, X ), n0 ) ] )
% 0.68/1.10 , clause( 463, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1
% 0.68/1.10 , X ), n0 ) ), value( in( n2, X ), n0 ) ] )
% 0.68/1.10 , clause( 464, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1
% 0.68/1.10 , X ), n0 ) ), value( out( n1, X ), n1 ) ] )
% 0.68/1.10 , clause( 465, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( in( n1
% 0.68/1.10 , X ), n1 ) ), value( out( n1, X ), n0 ) ] )
% 0.68/1.10 , clause( 466, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1
% 0.68/1.10 , X ), n0 ) ), value( in( n1, X ), n1 ) ] )
% 0.68/1.10 , clause( 467, [ ~( mode( X, ok ) ), ~( type( X, not ) ), ~( value( out( n1
% 0.68/1.10 , X ), n1 ) ), value( in( n1, X ), n0 ) ] )
% 0.68/1.10 , clause( 468, [ ~( type( X, halfadder ) ), type( and1( X ), and ) ] )
% 0.68/1.10 , clause( 469, [ ~( type( X, halfadder ) ), type( and2( X ), and ) ] )
% 0.68/1.10 , clause( 470, [ ~( type( X, halfadder ) ), type( not1( X ), not ) ] )
% 0.68/1.10 , clause( 471, [ ~( type( X, halfadder ) ), type( or1( X ), or ) ] )
% 0.68/1.10 , clause( 472, [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1
% 0.68/1.10 , or1( X ) ) ) ] )
% 0.68/1.10 , clause( 473, [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2
% 0.68/1.10 , or1( X ) ) ) ] )
% 0.68/1.10 , clause( 474, [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1
% 0.68/1.10 , and2( X ) ) ) ] )
% 0.68/1.10 , clause( 475, [ ~( type( X, halfadder ) ), connection( in( n2, X ), in( n2
% 0.68/1.10 , and2( X ) ) ) ] )
% 0.68/1.10 , clause( 476, [ ~( type( X, halfadder ) ), connection( out( s, X ), out(
% 0.68/1.10 n1, and1( X ) ) ) ] )
% 0.68/1.10 , clause( 477, [ ~( type( X, halfadder ) ), connection( out( c, X ), out(
% 0.68/1.10 n1, and2( X ) ) ) ] )
% 0.68/1.10 , clause( 478, [ ~( type( X, halfadder ) ), connection( out( n1, or1( X ) )
% 0.68/1.10 , in( n1, and1( X ) ) ) ] )
% 0.68/1.10 , clause( 479, [ ~( type( X, halfadder ) ), connection( out( n1, and2( X )
% 0.68/1.10 ), in( n1, not1( X ) ) ) ] )
% 0.68/1.10 , clause( 480, [ ~( type( X, halfadder ) ), connection( out( n1, not1( X )
% 0.68/1.10 ), in( n2, and1( X ) ) ) ] )
% 0.68/1.10 , clause( 481, [ ~( type( X, fulladder ) ), type( h1( X ), halfadder ) ] )
% 0.68/1.10 , clause( 482, [ ~( type( X, fulladder ) ), type( h2( X ), halfadder ) ] )
% 0.68/1.10 , clause( 483, [ ~( type( X, fulladder ) ), type( or1( X ), or ) ] )
% 0.68/1.10 , clause( 484, [ ~( type( X, fulladder ) ), connection( out( s, h1( X ) ),
% 0.68/1.10 in( n2, h2( X ) ) ) ] )
% 0.68/1.10 , clause( 485, [ ~( type( X, fulladder ) ), connection( out( c, h1( X ) ),
% 0.68/1.10 in( n2, or1( X ) ) ) ] )
% 0.68/1.10 , clause( 486, [ ~( type( X, fulladder ) ), connection( out( c, h2( X ) ),
% 0.68/1.10 in( n1, or1( X ) ) ) ] )
% 0.68/1.10 , clause( 487, [ ~( type( X, fulladder ) ), connection( in( n1, X ), in( n1
% 0.68/1.10 , h2( X ) ) ) ] )
% 0.68/1.10 , clause( 488, [ ~( type( X, fulladder ) ), connection( in( n2, X ), in( n1
% 0.68/1.10 , h1( X ) ) ) ] )
% 0.68/1.10 , clause( 489, [ ~( type( X, fulladder ) ), connection( in( c, X ), in( n2
% 0.68/1.10 , h1( X ) ) ) ] )
% 0.68/1.10 , clause( 490, [ ~( type( X, fulladder ) ), connection( out( s, X ), out( s
% 0.68/1.10 , h2( X ) ) ) ] )
% 0.68/1.10 , clause( 491, [ ~( type( X, fulladder ) ), connection( out( c, X ), out(
% 0.68/1.10 n1, or1( X ) ) ) ] )
% 0.68/1.10 , clause( 492, [ ~( type( X, 'nbit_adder'( n2 ) ) ), type( f( n1, X ),
% 0.68/1.10 fulladder ) ] )
% 0.68/1.10 , clause( 493, [ ~( type( X, 'nbit_adder'( n2 ) ) ), type( f( n2, X ),
% 0.68/1.10 fulladder ) ] )
% 0.68/1.10 , clause( 494, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( out( n1, X
% 0.68/1.10 ), out( n1, f( n1, X ) ) ) ] )
% 0.68/1.10 , clause( 495, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( out( n2, X
% 0.68/1.10 ), out( n1, f( n2, X ) ) ) ] )
% 0.68/1.10 , clause( 496, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( out( c, X
% 0.68/1.10 ), out( c, f( n2, X ) ) ) ] )
% 0.68/1.10 , clause( 497, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( a1, X
% 0.68/1.10 ), in( n1, f( n1, X ) ) ) ] )
% 0.68/1.10 , clause( 498, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( b1, X
% 0.68/1.10 ), in( n2, f( n1, X ) ) ) ] )
% 0.68/1.10 , clause( 499, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( a2, X
% 0.68/1.10 ), in( n1, f( n2, X ) ) ) ] )
% 0.68/1.10 , clause( 500, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( b2, X
% 0.68/1.10 ), in( n2, f( n2, X ) ) ) ] )
% 0.68/1.10 , clause( 501, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( out( c, f(
% 0.68/1.10 n1, X ) ), in( c, f( n2, X ) ) ) ] )
% 0.68/1.10 , clause( 502, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( c, X )
% 0.68/1.10 , in( c, f( n1, X ) ) ) ] )
% 0.68/1.10 , clause( 503, [ type( a, 'nbit_adder'( n2 ) ) ] )
% 0.68/1.10 , clause( 504, [ value( in( a1, a ), n0 ) ] )
% 0.68/1.10 , clause( 505, [ value( in( a2, a ), n0 ) ] )
% 0.68/1.10 , clause( 506, [ value( in( b1, a ), n0 ) ] )
% 0.68/1.10 , clause( 507, [ value( in( b2, a ), n0 ) ] )
% 0.68/1.10 , clause( 508, [ value( in( c, a ), n0 ) ] )
% 0.68/1.10 , clause( 509, [ value( out( n1, a ), n0 ) ] )
% 0.68/1.10 , clause( 510, [ value( out( n2, a ), n0 ) ] )
% 0.68/1.10 , clause( 511, [ value( out( c, a ), n1 ) ] )
% 0.68/1.10 , clause( 512, [ ~( mode( or1( f( n2, a ) ), abnormal ) ) ] )
% 0.68/1.10 , clause( 513, [ ~( mode( and2( h1( f( n2, a ) ) ), abnormal ) ) ] )
% 0.68/1.10 , clause( 514, [ ~( mode( and2( h2( f( n2, a ) ) ), abnormal ) ) ] )
% 0.68/1.10 ] ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.10 )
% 0.68/1.10 , clause( 447, [ ~( connection( X, Y ) ), ~( value( X, Z ) ), value( Y, Z )
% 0.68/1.10 ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.10 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 1, [ ~( value( Y, Z ) ), value( X, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.10 )
% 0.68/1.10 , clause( 448, [ ~( connection( X, Y ) ), ~( value( Y, Z ) ), value( X, Z )
% 0.68/1.10 ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.10 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z ) )
% 0.68/1.10 ] )
% 0.68/1.10 , clause( 449, [ ~( value( X, Y ) ), ~( value( X, Z ) ), 'equal_value'( Y,
% 0.68/1.10 Z ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.68/1.10 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 4, [ ~( 'equal_value'( n1, n0 ) ) ] )
% 0.68/1.10 , clause( 451, [ ~( 'equal_value'( n1, n0 ) ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.68/1.10 , clause( 453, [ ~( type( X, Y ) ), mode( X, ok ), mode( X, abnormal ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.68/1.10 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 7, [ ~( mode( X, ok ) ), ~( type( X, and ) ), value( out( n1, X ),
% 0.68/1.10 n0 ), ~( value( in( Y, X ), n0 ) ) ] )
% 0.68/1.10 , clause( 454, [ ~( mode( X, ok ) ), ~( type( X, and ) ), ~( value( in( Y,
% 0.68/1.10 X ), n0 ) ), value( out( n1, X ), n0 ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.10 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 14, [ ~( mode( X, ok ) ), ~( type( X, or ) ), value( in( n1, X ),
% 0.68/1.10 n1 ), value( in( n2, X ), n1 ), ~( value( out( n1, X ), n1 ) ) ] )
% 0.68/1.10 , clause( 461, [ ~( mode( X, ok ) ), ~( type( X, or ) ), ~( value( out( n1
% 0.68/1.10 , X ), n1 ) ), value( in( n1, X ), n1 ), value( in( n2, X ), n1 ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 0.68/1.10 1 ), ==>( 2, 4 ), ==>( 3, 2 ), ==>( 4, 3 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 22, [ type( and2( X ), and ), ~( type( X, halfadder ) ) ] )
% 0.68/1.10 , clause( 469, [ ~( type( X, halfadder ) ), type( and2( X ), and ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 27, [ connection( in( n1, X ), in( n1, and2( X ) ) ), ~( type( X,
% 0.68/1.10 halfadder ) ) ] )
% 0.68/1.10 , clause( 474, [ ~( type( X, halfadder ) ), connection( in( n1, X ), in( n1
% 0.68/1.10 , and2( X ) ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 30, [ connection( out( c, X ), out( n1, and2( X ) ) ), ~( type( X,
% 0.68/1.10 halfadder ) ) ] )
% 0.68/1.10 , clause( 477, [ ~( type( X, halfadder ) ), connection( out( c, X ), out(
% 0.68/1.10 n1, and2( X ) ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 34, [ type( h1( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.68/1.10 , clause( 481, [ ~( type( X, fulladder ) ), type( h1( X ), halfadder ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 35, [ type( h2( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.68/1.10 , clause( 482, [ ~( type( X, fulladder ) ), type( h2( X ), halfadder ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 36, [ type( or1( X ), or ), ~( type( X, fulladder ) ) ] )
% 0.68/1.10 , clause( 483, [ ~( type( X, fulladder ) ), type( or1( X ), or ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 38, [ connection( out( c, h1( X ) ), in( n2, or1( X ) ) ), ~( type(
% 0.68/1.10 X, fulladder ) ) ] )
% 0.68/1.10 , clause( 485, [ ~( type( X, fulladder ) ), connection( out( c, h1( X ) ),
% 0.68/1.10 in( n2, or1( X ) ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 39, [ connection( out( c, h2( X ) ), in( n1, or1( X ) ) ), ~( type(
% 0.68/1.10 X, fulladder ) ) ] )
% 0.68/1.10 , clause( 486, [ ~( type( X, fulladder ) ), connection( out( c, h2( X ) ),
% 0.68/1.10 in( n1, or1( X ) ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 40, [ connection( in( n1, X ), in( n1, h2( X ) ) ), ~( type( X,
% 0.68/1.10 fulladder ) ) ] )
% 0.68/1.10 , clause( 487, [ ~( type( X, fulladder ) ), connection( in( n1, X ), in( n1
% 0.68/1.10 , h2( X ) ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 41, [ connection( in( n2, X ), in( n1, h1( X ) ) ), ~( type( X,
% 0.68/1.10 fulladder ) ) ] )
% 0.68/1.10 , clause( 488, [ ~( type( X, fulladder ) ), connection( in( n2, X ), in( n1
% 0.68/1.10 , h1( X ) ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 44, [ connection( out( c, X ), out( n1, or1( X ) ) ), ~( type( X,
% 0.68/1.10 fulladder ) ) ] )
% 0.68/1.10 , clause( 491, [ ~( type( X, fulladder ) ), connection( out( c, X ), out(
% 0.68/1.10 n1, or1( X ) ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 46, [ type( f( n2, X ), fulladder ), ~( type( X, 'nbit_adder'( n2 )
% 0.68/1.10 ) ) ] )
% 0.68/1.10 , clause( 493, [ ~( type( X, 'nbit_adder'( n2 ) ) ), type( f( n2, X ),
% 0.68/1.10 fulladder ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 49, [ connection( out( c, X ), out( c, f( n2, X ) ) ), ~( type( X,
% 0.68/1.10 'nbit_adder'( n2 ) ) ) ] )
% 0.68/1.10 , clause( 496, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( out( c, X
% 0.68/1.10 ), out( c, f( n2, X ) ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 52, [ connection( in( a2, X ), in( n1, f( n2, X ) ) ), ~( type( X,
% 0.68/1.10 'nbit_adder'( n2 ) ) ) ] )
% 0.68/1.10 , clause( 499, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( a2, X
% 0.68/1.10 ), in( n1, f( n2, X ) ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 53, [ connection( in( b2, X ), in( n2, f( n2, X ) ) ), ~( type( X,
% 0.68/1.10 'nbit_adder'( n2 ) ) ) ] )
% 0.68/1.10 , clause( 500, [ ~( type( X, 'nbit_adder'( n2 ) ) ), connection( in( b2, X
% 0.68/1.10 ), in( n2, f( n2, X ) ) ) ] )
% 0.68/1.10 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.10 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 56, [ type( a, 'nbit_adder'( n2 ) ) ] )
% 0.68/1.10 , clause( 503, [ type( a, 'nbit_adder'( n2 ) ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 58, [ value( in( a2, a ), n0 ) ] )
% 0.68/1.10 , clause( 505, [ value( in( a2, a ), n0 ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 60, [ value( in( b2, a ), n0 ) ] )
% 0.68/1.10 , clause( 507, [ value( in( b2, a ), n0 ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 64, [ value( out( c, a ), n1 ) ] )
% 0.68/1.10 , clause( 511, [ value( out( c, a ), n1 ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 65, [ ~( mode( or1( f( n2, a ) ), abnormal ) ) ] )
% 0.68/1.10 , clause( 512, [ ~( mode( or1( f( n2, a ) ), abnormal ) ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 66, [ ~( mode( and2( h1( f( n2, a ) ) ), abnormal ) ) ] )
% 0.68/1.10 , clause( 513, [ ~( mode( and2( h1( f( n2, a ) ) ), abnormal ) ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 67, [ ~( mode( and2( h2( f( n2, a ) ) ), abnormal ) ) ] )
% 0.68/1.10 , clause( 514, [ ~( mode( and2( h2( f( n2, a ) ) ), abnormal ) ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 resolution(
% 0.68/1.10 clause( 542, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.10 , clause( 46, [ type( f( n2, X ), fulladder ), ~( type( X, 'nbit_adder'( n2
% 0.68/1.10 ) ) ) ] )
% 0.68/1.10 , 1, clause( 56, [ type( a, 'nbit_adder'( n2 ) ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 81, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.10 , clause( 542, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 resolution(
% 0.68/1.10 clause( 543, [ type( h1( f( n2, a ) ), halfadder ) ] )
% 0.68/1.10 , clause( 34, [ type( h1( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.68/1.10 , 1, clause( 81, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, f( n2, a ) )] ), substitution( 1, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 82, [ type( h1( f( n2, a ) ), halfadder ) ] )
% 0.68/1.10 , clause( 543, [ type( h1( f( n2, a ) ), halfadder ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 resolution(
% 0.68/1.10 clause( 544, [ type( h2( f( n2, a ) ), halfadder ) ] )
% 0.68/1.10 , clause( 35, [ type( h2( X ), halfadder ), ~( type( X, fulladder ) ) ] )
% 0.68/1.10 , 1, clause( 81, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, f( n2, a ) )] ), substitution( 1, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 83, [ type( h2( f( n2, a ) ), halfadder ) ] )
% 0.68/1.10 , clause( 544, [ type( h2( f( n2, a ) ), halfadder ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 resolution(
% 0.68/1.10 clause( 545, [ type( or1( f( n2, a ) ), or ) ] )
% 0.68/1.10 , clause( 36, [ type( or1( X ), or ), ~( type( X, fulladder ) ) ] )
% 0.68/1.10 , 1, clause( 81, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, f( n2, a ) )] ), substitution( 1, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 85, [ type( or1( f( n2, a ) ), or ) ] )
% 0.68/1.10 , clause( 545, [ type( or1( f( n2, a ) ), or ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 resolution(
% 0.68/1.10 clause( 546, [ type( and2( h1( f( n2, a ) ) ), and ) ] )
% 0.68/1.10 , clause( 22, [ type( and2( X ), and ), ~( type( X, halfadder ) ) ] )
% 0.68/1.10 , 1, clause( 82, [ type( h1( f( n2, a ) ), halfadder ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, h1( f( n2, a ) ) )] ), substitution( 1, [] )
% 0.68/1.10 ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 87, [ type( and2( h1( f( n2, a ) ) ), and ) ] )
% 0.68/1.10 , clause( 546, [ type( and2( h1( f( n2, a ) ) ), and ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 resolution(
% 0.68/1.10 clause( 547, [ type( and2( h2( f( n2, a ) ) ), and ) ] )
% 0.68/1.10 , clause( 22, [ type( and2( X ), and ), ~( type( X, halfadder ) ) ] )
% 0.68/1.10 , 1, clause( 83, [ type( h2( f( n2, a ) ), halfadder ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, h2( f( n2, a ) ) )] ), substitution( 1, [] )
% 0.68/1.10 ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 92, [ type( and2( h2( f( n2, a ) ) ), and ) ] )
% 0.68/1.10 , clause( 547, [ type( and2( h2( f( n2, a ) ) ), and ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 resolution(
% 0.68/1.10 clause( 548, [ mode( or1( f( n2, a ) ), ok ), mode( or1( f( n2, a ) ),
% 0.68/1.10 abnormal ) ] )
% 0.68/1.10 , clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.68/1.10 , 2, clause( 85, [ type( or1( f( n2, a ) ), or ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, or1( f( n2, a ) ) ), :=( Y, or )] ),
% 0.68/1.10 substitution( 1, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 resolution(
% 0.68/1.10 clause( 549, [ mode( or1( f( n2, a ) ), ok ) ] )
% 0.68/1.10 , clause( 65, [ ~( mode( or1( f( n2, a ) ), abnormal ) ) ] )
% 0.68/1.10 , 0, clause( 548, [ mode( or1( f( n2, a ) ), ok ), mode( or1( f( n2, a ) )
% 0.68/1.10 , abnormal ) ] )
% 0.68/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 96, [ mode( or1( f( n2, a ) ), ok ) ] )
% 0.68/1.10 , clause( 549, [ mode( or1( f( n2, a ) ), ok ) ] )
% 0.68/1.10 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 resolution(
% 0.68/1.10 clause( 550, [ mode( and2( h2( f( n2, a ) ) ), ok ), mode( and2( h2( f( n2
% 0.68/1.10 , a ) ) ), abnormal ) ] )
% 0.68/1.10 , clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.68/1.10 , 2, clause( 92, [ type( and2( h2( f( n2, a ) ) ), and ) ] )
% 0.68/1.10 , 0, substitution( 0, [ :=( X, and2( h2( f( n2, a ) ) ) ), :=( Y, and )] )
% 0.68/1.10 , substitution( 1, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 resolution(
% 0.68/1.10 clause( 551, [ mode( and2( h2( f( n2, a ) ) ), ok ) ] )
% 0.68/1.10 , clause( 67, [ ~( mode( and2( h2( f( n2, a ) ) ), abnormal ) ) ] )
% 0.68/1.10 , 0, clause( 550, [ mode( and2( h2( f( n2, a ) ) ), ok ), mode( and2( h2( f(
% 0.68/1.10 n2, a ) ) ), abnormal ) ] )
% 0.68/1.10 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.10
% 0.68/1.10
% 0.68/1.10 subsumption(
% 0.68/1.10 clause( 98, [ mode( and2( h2( f( n2, a ) ) ), ok ) ] )
% 0.68/1.10 , clause( 551, [ mode( and2( h2( f( n2, a ) ) ), ok ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 552, [ mode( and2( h1( f( n2, a ) ) ), ok ), mode( and2( h1( f( n2
% 0.68/1.11 , a ) ) ), abnormal ) ] )
% 0.68/1.11 , clause( 6, [ mode( X, ok ), mode( X, abnormal ), ~( type( X, Y ) ) ] )
% 0.68/1.11 , 2, clause( 87, [ type( and2( h1( f( n2, a ) ) ), and ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, and2( h1( f( n2, a ) ) ) ), :=( Y, and )] )
% 0.68/1.11 , substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 553, [ mode( and2( h1( f( n2, a ) ) ), ok ) ] )
% 0.68/1.11 , clause( 66, [ ~( mode( and2( h1( f( n2, a ) ) ), abnormal ) ) ] )
% 0.68/1.11 , 0, clause( 552, [ mode( and2( h1( f( n2, a ) ) ), ok ), mode( and2( h1( f(
% 0.68/1.11 n2, a ) ) ), abnormal ) ] )
% 0.68/1.11 , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 102, [ mode( and2( h1( f( n2, a ) ) ), ok ) ] )
% 0.68/1.11 , clause( 553, [ mode( and2( h1( f( n2, a ) ) ), ok ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 554, [ connection( out( c, f( n2, a ) ), out( n1, or1( f( n2, a ) )
% 0.68/1.11 ) ) ] )
% 0.68/1.11 , clause( 44, [ connection( out( c, X ), out( n1, or1( X ) ) ), ~( type( X
% 0.68/1.11 , fulladder ) ) ] )
% 0.68/1.11 , 1, clause( 81, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, f( n2, a ) )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 132, [ connection( out( c, f( n2, a ) ), out( n1, or1( f( n2, a ) )
% 0.68/1.11 ) ) ] )
% 0.68/1.11 , clause( 554, [ connection( out( c, f( n2, a ) ), out( n1, or1( f( n2, a )
% 0.68/1.11 ) ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 555, [ connection( in( n2, f( n2, a ) ), in( n1, h1( f( n2, a ) ) )
% 0.68/1.11 ) ] )
% 0.68/1.11 , clause( 41, [ connection( in( n2, X ), in( n1, h1( X ) ) ), ~( type( X,
% 0.68/1.11 fulladder ) ) ] )
% 0.68/1.11 , 1, clause( 81, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, f( n2, a ) )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 138, [ connection( in( n2, f( n2, a ) ), in( n1, h1( f( n2, a ) ) )
% 0.68/1.11 ) ] )
% 0.68/1.11 , clause( 555, [ connection( in( n2, f( n2, a ) ), in( n1, h1( f( n2, a ) )
% 0.68/1.11 ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 556, [ connection( in( n1, f( n2, a ) ), in( n1, h2( f( n2, a ) ) )
% 0.68/1.11 ) ] )
% 0.68/1.11 , clause( 40, [ connection( in( n1, X ), in( n1, h2( X ) ) ), ~( type( X,
% 0.68/1.11 fulladder ) ) ] )
% 0.68/1.11 , 1, clause( 81, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, f( n2, a ) )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 141, [ connection( in( n1, f( n2, a ) ), in( n1, h2( f( n2, a ) ) )
% 0.68/1.11 ) ] )
% 0.68/1.11 , clause( 556, [ connection( in( n1, f( n2, a ) ), in( n1, h2( f( n2, a ) )
% 0.68/1.11 ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 557, [ connection( out( c, h2( f( n2, a ) ) ), out( n1, and2( h2( f(
% 0.68/1.11 n2, a ) ) ) ) ) ] )
% 0.68/1.11 , clause( 30, [ connection( out( c, X ), out( n1, and2( X ) ) ), ~( type( X
% 0.68/1.11 , halfadder ) ) ] )
% 0.68/1.11 , 1, clause( 83, [ type( h2( f( n2, a ) ), halfadder ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, h2( f( n2, a ) ) )] ), substitution( 1, [] )
% 0.68/1.11 ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 144, [ connection( out( c, h2( f( n2, a ) ) ), out( n1, and2( h2( f(
% 0.68/1.11 n2, a ) ) ) ) ) ] )
% 0.68/1.11 , clause( 557, [ connection( out( c, h2( f( n2, a ) ) ), out( n1, and2( h2(
% 0.68/1.11 f( n2, a ) ) ) ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 558, [ connection( out( c, h1( f( n2, a ) ) ), out( n1, and2( h1( f(
% 0.68/1.11 n2, a ) ) ) ) ) ] )
% 0.68/1.11 , clause( 30, [ connection( out( c, X ), out( n1, and2( X ) ) ), ~( type( X
% 0.68/1.11 , halfadder ) ) ] )
% 0.68/1.11 , 1, clause( 82, [ type( h1( f( n2, a ) ), halfadder ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, h1( f( n2, a ) ) )] ), substitution( 1, [] )
% 0.68/1.11 ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 145, [ connection( out( c, h1( f( n2, a ) ) ), out( n1, and2( h1( f(
% 0.68/1.11 n2, a ) ) ) ) ) ] )
% 0.68/1.11 , clause( 558, [ connection( out( c, h1( f( n2, a ) ) ), out( n1, and2( h1(
% 0.68/1.11 f( n2, a ) ) ) ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 559, [ connection( in( n1, h2( f( n2, a ) ) ), in( n1, and2( h2( f(
% 0.68/1.11 n2, a ) ) ) ) ) ] )
% 0.68/1.11 , clause( 27, [ connection( in( n1, X ), in( n1, and2( X ) ) ), ~( type( X
% 0.68/1.11 , halfadder ) ) ] )
% 0.68/1.11 , 1, clause( 83, [ type( h2( f( n2, a ) ), halfadder ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, h2( f( n2, a ) ) )] ), substitution( 1, [] )
% 0.68/1.11 ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 156, [ connection( in( n1, h2( f( n2, a ) ) ), in( n1, and2( h2( f(
% 0.68/1.11 n2, a ) ) ) ) ) ] )
% 0.68/1.11 , clause( 559, [ connection( in( n1, h2( f( n2, a ) ) ), in( n1, and2( h2(
% 0.68/1.11 f( n2, a ) ) ) ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 560, [ connection( in( n1, h1( f( n2, a ) ) ), in( n1, and2( h1( f(
% 0.68/1.11 n2, a ) ) ) ) ) ] )
% 0.68/1.11 , clause( 27, [ connection( in( n1, X ), in( n1, and2( X ) ) ), ~( type( X
% 0.68/1.11 , halfadder ) ) ] )
% 0.68/1.11 , 1, clause( 82, [ type( h1( f( n2, a ) ), halfadder ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, h1( f( n2, a ) ) )] ), substitution( 1, [] )
% 0.68/1.11 ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 157, [ connection( in( n1, h1( f( n2, a ) ) ), in( n1, and2( h1( f(
% 0.68/1.11 n2, a ) ) ) ) ) ] )
% 0.68/1.11 , clause( 560, [ connection( in( n1, h1( f( n2, a ) ) ), in( n1, and2( h1(
% 0.68/1.11 f( n2, a ) ) ) ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 561, [ ~( value( in( n1, f( n2, a ) ), X ) ), value( in( n1, h2( f(
% 0.68/1.11 n2, a ) ) ), X ) ] )
% 0.68/1.11 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 141, [ connection( in( n1, f( n2, a ) ), in( n1, h2( f( n2, a
% 0.68/1.11 ) ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, in( n1, f( n2, a ) ) ), :=( Y, in( n1, h2( f(
% 0.68/1.11 n2, a ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 177, [ value( in( n1, h2( f( n2, a ) ) ), X ), ~( value( in( n1, f(
% 0.68/1.11 n2, a ) ), X ) ) ] )
% 0.68/1.11 , clause( 561, [ ~( value( in( n1, f( n2, a ) ), X ) ), value( in( n1, h2(
% 0.68/1.11 f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 562, [ ~( value( in( n2, f( n2, a ) ), X ) ), value( in( n1, h1( f(
% 0.68/1.11 n2, a ) ) ), X ) ] )
% 0.68/1.11 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 138, [ connection( in( n2, f( n2, a ) ), in( n1, h1( f( n2, a
% 0.68/1.11 ) ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, in( n2, f( n2, a ) ) ), :=( Y, in( n1, h1( f(
% 0.68/1.11 n2, a ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 181, [ value( in( n1, h1( f( n2, a ) ) ), X ), ~( value( in( n2, f(
% 0.68/1.11 n2, a ) ), X ) ) ] )
% 0.68/1.11 , clause( 562, [ ~( value( in( n2, f( n2, a ) ), X ) ), value( in( n1, h1(
% 0.68/1.11 f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 563, [ ~( value( out( c, f( n2, a ) ), X ) ), value( out( n1, or1(
% 0.68/1.11 f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 132, [ connection( out( c, f( n2, a ) ), out( n1, or1( f( n2,
% 0.68/1.11 a ) ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, out( c, f( n2, a ) ) ), :=( Y, out( n1, or1(
% 0.68/1.11 f( n2, a ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 199, [ value( out( n1, or1( f( n2, a ) ) ), X ), ~( value( out( c,
% 0.68/1.11 f( n2, a ) ), X ) ) ] )
% 0.68/1.11 , clause( 563, [ ~( value( out( c, f( n2, a ) ), X ) ), value( out( n1, or1(
% 0.68/1.11 f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 564, [ connection( out( c, h1( f( n2, a ) ) ), in( n2, or1( f( n2,
% 0.68/1.11 a ) ) ) ) ] )
% 0.68/1.11 , clause( 38, [ connection( out( c, h1( X ) ), in( n2, or1( X ) ) ), ~(
% 0.68/1.11 type( X, fulladder ) ) ] )
% 0.68/1.11 , 1, clause( 81, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, f( n2, a ) )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 201, [ connection( out( c, h1( f( n2, a ) ) ), in( n2, or1( f( n2,
% 0.68/1.11 a ) ) ) ) ] )
% 0.68/1.11 , clause( 564, [ connection( out( c, h1( f( n2, a ) ) ), in( n2, or1( f( n2
% 0.68/1.11 , a ) ) ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 565, [ connection( out( c, h2( f( n2, a ) ) ), in( n1, or1( f( n2,
% 0.68/1.11 a ) ) ) ) ] )
% 0.68/1.11 , clause( 39, [ connection( out( c, h2( X ) ), in( n1, or1( X ) ) ), ~(
% 0.68/1.11 type( X, fulladder ) ) ] )
% 0.68/1.11 , 1, clause( 81, [ type( f( n2, a ), fulladder ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, f( n2, a ) )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 203, [ connection( out( c, h2( f( n2, a ) ) ), in( n1, or1( f( n2,
% 0.68/1.11 a ) ) ) ) ] )
% 0.68/1.11 , clause( 565, [ connection( out( c, h2( f( n2, a ) ) ), in( n1, or1( f( n2
% 0.68/1.11 , a ) ) ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 566, [ ~( value( out( c, h2( f( n2, a ) ) ), X ) ), value( in( n1,
% 0.68/1.11 or1( f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 203, [ connection( out( c, h2( f( n2, a ) ) ), in( n1, or1( f(
% 0.68/1.11 n2, a ) ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, out( c, h2( f( n2, a ) ) ) ), :=( Y, in( n1
% 0.68/1.11 , or1( f( n2, a ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 207, [ value( in( n1, or1( f( n2, a ) ) ), X ), ~( value( out( c,
% 0.68/1.11 h2( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.11 , clause( 566, [ ~( value( out( c, h2( f( n2, a ) ) ), X ) ), value( in( n1
% 0.68/1.11 , or1( f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 567, [ connection( out( c, a ), out( c, f( n2, a ) ) ) ] )
% 0.68/1.11 , clause( 49, [ connection( out( c, X ), out( c, f( n2, X ) ) ), ~( type( X
% 0.68/1.11 , 'nbit_adder'( n2 ) ) ) ] )
% 0.68/1.11 , 1, clause( 56, [ type( a, 'nbit_adder'( n2 ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 221, [ connection( out( c, a ), out( c, f( n2, a ) ) ) ] )
% 0.68/1.11 , clause( 567, [ connection( out( c, a ), out( c, f( n2, a ) ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 568, [ ~( value( out( c, a ), X ) ), value( out( c, f( n2, a ) ), X
% 0.68/1.11 ) ] )
% 0.68/1.11 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 221, [ connection( out( c, a ), out( c, f( n2, a ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, out( c, a ) ), :=( Y, out( c, f( n2, a ) ) )
% 0.68/1.11 , :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 228, [ value( out( c, f( n2, a ) ), X ), ~( value( out( c, a ), X )
% 0.68/1.11 ) ] )
% 0.68/1.11 , clause( 568, [ ~( value( out( c, a ), X ) ), value( out( c, f( n2, a ) )
% 0.68/1.11 , X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 569, [ connection( in( a2, a ), in( n1, f( n2, a ) ) ) ] )
% 0.68/1.11 , clause( 52, [ connection( in( a2, X ), in( n1, f( n2, X ) ) ), ~( type( X
% 0.68/1.11 , 'nbit_adder'( n2 ) ) ) ] )
% 0.68/1.11 , 1, clause( 56, [ type( a, 'nbit_adder'( n2 ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 239, [ connection( in( a2, a ), in( n1, f( n2, a ) ) ) ] )
% 0.68/1.11 , clause( 569, [ connection( in( a2, a ), in( n1, f( n2, a ) ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 570, [ ~( value( in( a2, a ), X ) ), value( in( n1, f( n2, a ) ), X
% 0.68/1.11 ) ] )
% 0.68/1.11 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 239, [ connection( in( a2, a ), in( n1, f( n2, a ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, in( a2, a ) ), :=( Y, in( n1, f( n2, a ) ) )
% 0.68/1.11 , :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 242, [ value( in( n1, f( n2, a ) ), X ), ~( value( in( a2, a ), X )
% 0.68/1.11 ) ] )
% 0.68/1.11 , clause( 570, [ ~( value( in( a2, a ), X ) ), value( in( n1, f( n2, a ) )
% 0.68/1.11 , X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 571, [ connection( in( b2, a ), in( n2, f( n2, a ) ) ) ] )
% 0.68/1.11 , clause( 53, [ connection( in( b2, X ), in( n2, f( n2, X ) ) ), ~( type( X
% 0.68/1.11 , 'nbit_adder'( n2 ) ) ) ] )
% 0.68/1.11 , 1, clause( 56, [ type( a, 'nbit_adder'( n2 ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, a )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 243, [ connection( in( b2, a ), in( n2, f( n2, a ) ) ) ] )
% 0.68/1.11 , clause( 571, [ connection( in( b2, a ), in( n2, f( n2, a ) ) ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 572, [ ~( value( in( b2, a ), X ) ), value( in( n2, f( n2, a ) ), X
% 0.68/1.11 ) ] )
% 0.68/1.11 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 243, [ connection( in( b2, a ), in( n2, f( n2, a ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, in( b2, a ) ), :=( Y, in( n2, f( n2, a ) ) )
% 0.68/1.11 , :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 245, [ value( in( n2, f( n2, a ) ), X ), ~( value( in( b2, a ), X )
% 0.68/1.11 ) ] )
% 0.68/1.11 , clause( 572, [ ~( value( in( b2, a ), X ) ), value( in( n2, f( n2, a ) )
% 0.68/1.11 , X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 573, [ value( in( n2, f( n2, a ) ), n0 ) ] )
% 0.68/1.11 , clause( 245, [ value( in( n2, f( n2, a ) ), X ), ~( value( in( b2, a ), X
% 0.68/1.11 ) ) ] )
% 0.68/1.11 , 1, clause( 60, [ value( in( b2, a ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 246, [ value( in( n2, f( n2, a ) ), n0 ) ] )
% 0.68/1.11 , clause( 573, [ value( in( n2, f( n2, a ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 574, [ value( in( n1, f( n2, a ) ), n0 ) ] )
% 0.68/1.11 , clause( 242, [ value( in( n1, f( n2, a ) ), X ), ~( value( in( a2, a ), X
% 0.68/1.11 ) ) ] )
% 0.68/1.11 , 1, clause( 58, [ value( in( a2, a ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 251, [ value( in( n1, f( n2, a ) ), n0 ) ] )
% 0.68/1.11 , clause( 574, [ value( in( n1, f( n2, a ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 575, [ value( out( c, f( n2, a ) ), n1 ) ] )
% 0.68/1.11 , clause( 228, [ value( out( c, f( n2, a ) ), X ), ~( value( out( c, a ), X
% 0.68/1.11 ) ) ] )
% 0.68/1.11 , 1, clause( 64, [ value( out( c, a ), n1 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 259, [ value( out( c, f( n2, a ) ), n1 ) ] )
% 0.68/1.11 , clause( 575, [ value( out( c, f( n2, a ) ), n1 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 576, [ ~( value( out( c, h1( f( n2, a ) ) ), X ) ), value( in( n2,
% 0.68/1.11 or1( f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 201, [ connection( out( c, h1( f( n2, a ) ) ), in( n2, or1( f(
% 0.68/1.11 n2, a ) ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, out( c, h1( f( n2, a ) ) ) ), :=( Y, in( n2
% 0.68/1.11 , or1( f( n2, a ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 264, [ value( in( n2, or1( f( n2, a ) ) ), X ), ~( value( out( c,
% 0.68/1.11 h1( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.11 , clause( 576, [ ~( value( out( c, h1( f( n2, a ) ) ), X ) ), value( in( n2
% 0.68/1.11 , or1( f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 577, [ ~( value( out( n1, and2( h2( f( n2, a ) ) ) ), X ) ), value(
% 0.68/1.11 out( c, h2( f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , clause( 1, [ ~( value( Y, Z ) ), value( X, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 144, [ connection( out( c, h2( f( n2, a ) ) ), out( n1, and2(
% 0.68/1.11 h2( f( n2, a ) ) ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, out( c, h2( f( n2, a ) ) ) ), :=( Y, out( n1
% 0.68/1.11 , and2( h2( f( n2, a ) ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 291, [ value( out( c, h2( f( n2, a ) ) ), X ), ~( value( out( n1,
% 0.68/1.11 and2( h2( f( n2, a ) ) ) ), X ) ) ] )
% 0.68/1.11 , clause( 577, [ ~( value( out( n1, and2( h2( f( n2, a ) ) ) ), X ) ),
% 0.68/1.11 value( out( c, h2( f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 578, [ ~( value( in( n1, h2( f( n2, a ) ) ), X ) ), value( in( n1,
% 0.68/1.11 and2( h2( f( n2, a ) ) ) ), X ) ] )
% 0.68/1.11 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 156, [ connection( in( n1, h2( f( n2, a ) ) ), in( n1, and2(
% 0.68/1.11 h2( f( n2, a ) ) ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, in( n1, h2( f( n2, a ) ) ) ), :=( Y, in( n1
% 0.68/1.11 , and2( h2( f( n2, a ) ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 296, [ value( in( n1, and2( h2( f( n2, a ) ) ) ), X ), ~( value( in(
% 0.68/1.11 n1, h2( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.11 , clause( 578, [ ~( value( in( n1, h2( f( n2, a ) ) ), X ) ), value( in( n1
% 0.68/1.11 , and2( h2( f( n2, a ) ) ) ), X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 579, [ ~( value( in( n1, h1( f( n2, a ) ) ), X ) ), value( in( n1,
% 0.68/1.11 and2( h1( f( n2, a ) ) ) ), X ) ] )
% 0.68/1.11 , clause( 0, [ ~( value( X, Z ) ), value( Y, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 157, [ connection( in( n1, h1( f( n2, a ) ) ), in( n1, and2(
% 0.68/1.11 h1( f( n2, a ) ) ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, in( n1, h1( f( n2, a ) ) ) ), :=( Y, in( n1
% 0.68/1.11 , and2( h1( f( n2, a ) ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 298, [ value( in( n1, and2( h1( f( n2, a ) ) ) ), X ), ~( value( in(
% 0.68/1.11 n1, h1( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.11 , clause( 579, [ ~( value( in( n1, h1( f( n2, a ) ) ), X ) ), value( in( n1
% 0.68/1.11 , and2( h1( f( n2, a ) ) ) ), X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 580, [ ~( value( out( n1, and2( h1( f( n2, a ) ) ) ), X ) ), value(
% 0.68/1.11 out( c, h1( f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , clause( 1, [ ~( value( Y, Z ) ), value( X, Z ), ~( connection( X, Y ) ) ]
% 0.68/1.11 )
% 0.68/1.11 , 2, clause( 145, [ connection( out( c, h1( f( n2, a ) ) ), out( n1, and2(
% 0.68/1.11 h1( f( n2, a ) ) ) ) ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, out( c, h1( f( n2, a ) ) ) ), :=( Y, out( n1
% 0.68/1.11 , and2( h1( f( n2, a ) ) ) ) ), :=( Z, X )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 301, [ value( out( c, h1( f( n2, a ) ) ), X ), ~( value( out( n1,
% 0.68/1.11 and2( h1( f( n2, a ) ) ) ), X ) ) ] )
% 0.68/1.11 , clause( 580, [ ~( value( out( n1, and2( h1( f( n2, a ) ) ) ), X ) ),
% 0.68/1.11 value( out( c, h1( f( n2, a ) ) ), X ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 581, [ value( out( n1, or1( f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , clause( 199, [ value( out( n1, or1( f( n2, a ) ) ), X ), ~( value( out( c
% 0.68/1.11 , f( n2, a ) ), X ) ) ] )
% 0.68/1.11 , 1, clause( 259, [ value( out( c, f( n2, a ) ), n1 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 341, [ value( out( n1, or1( f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , clause( 581, [ value( out( n1, or1( f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 582, [ ~( mode( or1( f( n2, a ) ), ok ) ), ~( type( or1( f( n2, a )
% 0.68/1.11 ), or ) ), value( in( n1, or1( f( n2, a ) ) ), n1 ), value( in( n2, or1(
% 0.68/1.11 f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , clause( 14, [ ~( mode( X, ok ) ), ~( type( X, or ) ), value( in( n1, X )
% 0.68/1.11 , n1 ), value( in( n2, X ), n1 ), ~( value( out( n1, X ), n1 ) ) ] )
% 0.68/1.11 , 4, clause( 341, [ value( out( n1, or1( f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, or1( f( n2, a ) ) )] ), substitution( 1, [] )
% 0.68/1.11 ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 583, [ ~( type( or1( f( n2, a ) ), or ) ), value( in( n1, or1( f(
% 0.68/1.11 n2, a ) ) ), n1 ), value( in( n2, or1( f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , clause( 582, [ ~( mode( or1( f( n2, a ) ), ok ) ), ~( type( or1( f( n2, a
% 0.68/1.11 ) ), or ) ), value( in( n1, or1( f( n2, a ) ) ), n1 ), value( in( n2,
% 0.68/1.11 or1( f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , 0, clause( 96, [ mode( or1( f( n2, a ) ), ok ) ] )
% 0.68/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 343, [ value( in( n1, or1( f( n2, a ) ) ), n1 ), value( in( n2, or1(
% 0.68/1.11 f( n2, a ) ) ), n1 ), ~( type( or1( f( n2, a ) ), or ) ) ] )
% 0.68/1.11 , clause( 583, [ ~( type( or1( f( n2, a ) ), or ) ), value( in( n1, or1( f(
% 0.68/1.11 n2, a ) ) ), n1 ), value( in( n2, or1( f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.68/1.11 , 1 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 584, [ value( in( n1, h2( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 177, [ value( in( n1, h2( f( n2, a ) ) ), X ), ~( value( in( n1,
% 0.68/1.11 f( n2, a ) ), X ) ) ] )
% 0.68/1.11 , 1, clause( 251, [ value( in( n1, f( n2, a ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 352, [ value( in( n1, h2( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 584, [ value( in( n1, h2( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 585, [ value( in( n1, h1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 181, [ value( in( n1, h1( f( n2, a ) ) ), X ), ~( value( in( n2,
% 0.68/1.11 f( n2, a ) ), X ) ) ] )
% 0.68/1.11 , 1, clause( 246, [ value( in( n2, f( n2, a ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 364, [ value( in( n1, h1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 585, [ value( in( n1, h1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 586, [ value( in( n1, and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 298, [ value( in( n1, and2( h1( f( n2, a ) ) ) ), X ), ~( value(
% 0.68/1.11 in( n1, h1( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.11 , 1, clause( 364, [ value( in( n1, h1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 372, [ value( in( n1, and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 586, [ value( in( n1, and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 587, [ ~( mode( and2( h1( f( n2, a ) ) ), ok ) ), ~( type( and2( h1(
% 0.68/1.11 f( n2, a ) ) ), and ) ), value( out( n1, and2( h1( f( n2, a ) ) ) ), n0 )
% 0.68/1.11 ] )
% 0.68/1.11 , clause( 7, [ ~( mode( X, ok ) ), ~( type( X, and ) ), value( out( n1, X )
% 0.68/1.11 , n0 ), ~( value( in( Y, X ), n0 ) ) ] )
% 0.68/1.11 , 3, clause( 372, [ value( in( n1, and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, and2( h1( f( n2, a ) ) ) ), :=( Y, n1 )] ),
% 0.68/1.11 substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 588, [ ~( type( and2( h1( f( n2, a ) ) ), and ) ), value( out( n1,
% 0.68/1.11 and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 587, [ ~( mode( and2( h1( f( n2, a ) ) ), ok ) ), ~( type( and2(
% 0.68/1.11 h1( f( n2, a ) ) ), and ) ), value( out( n1, and2( h1( f( n2, a ) ) ) ),
% 0.68/1.11 n0 ) ] )
% 0.68/1.11 , 0, clause( 102, [ mode( and2( h1( f( n2, a ) ) ), ok ) ] )
% 0.68/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 375, [ value( out( n1, and2( h1( f( n2, a ) ) ) ), n0 ), ~( type(
% 0.68/1.11 and2( h1( f( n2, a ) ) ), and ) ) ] )
% 0.68/1.11 , clause( 588, [ ~( type( and2( h1( f( n2, a ) ) ), and ) ), value( out( n1
% 0.68/1.11 , and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.68/1.11 ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 589, [ value( out( n1, and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 375, [ value( out( n1, and2( h1( f( n2, a ) ) ) ), n0 ), ~( type(
% 0.68/1.11 and2( h1( f( n2, a ) ) ), and ) ) ] )
% 0.68/1.11 , 1, clause( 87, [ type( and2( h1( f( n2, a ) ) ), and ) ] )
% 0.68/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 377, [ value( out( n1, and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 589, [ value( out( n1, and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 590, [ value( out( c, h1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 301, [ value( out( c, h1( f( n2, a ) ) ), X ), ~( value( out( n1
% 0.68/1.11 , and2( h1( f( n2, a ) ) ) ), X ) ) ] )
% 0.68/1.11 , 1, clause( 377, [ value( out( n1, and2( h1( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 378, [ value( out( c, h1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 590, [ value( out( c, h1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 591, [ value( in( n2, or1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 264, [ value( in( n2, or1( f( n2, a ) ) ), X ), ~( value( out( c
% 0.68/1.11 , h1( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.11 , 1, clause( 378, [ value( out( c, h1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 382, [ value( in( n2, or1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 591, [ value( in( n2, or1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 593, [ ~( value( in( n2, or1( f( n2, a ) ) ), X ) ), 'equal_value'(
% 0.68/1.11 X, n0 ) ] )
% 0.68/1.11 , clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z )
% 0.68/1.11 ) ] )
% 0.68/1.11 , 2, clause( 382, [ value( in( n2, or1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, in( n2, or1( f( n2, a ) ) ) ), :=( Y, X ),
% 0.68/1.11 :=( Z, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 385, [ 'equal_value'( X, n0 ), ~( value( in( n2, or1( f( n2, a ) )
% 0.68/1.11 ), X ) ) ] )
% 0.68/1.11 , clause( 593, [ ~( value( in( n2, or1( f( n2, a ) ) ), X ) ),
% 0.68/1.11 'equal_value'( X, n0 ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 594, [ value( in( n1, and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 296, [ value( in( n1, and2( h2( f( n2, a ) ) ) ), X ), ~( value(
% 0.68/1.11 in( n1, h2( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.11 , 1, clause( 352, [ value( in( n1, h2( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 386, [ value( in( n1, and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 594, [ value( in( n1, and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 595, [ ~( mode( and2( h2( f( n2, a ) ) ), ok ) ), ~( type( and2( h2(
% 0.68/1.11 f( n2, a ) ) ), and ) ), value( out( n1, and2( h2( f( n2, a ) ) ) ), n0 )
% 0.68/1.11 ] )
% 0.68/1.11 , clause( 7, [ ~( mode( X, ok ) ), ~( type( X, and ) ), value( out( n1, X )
% 0.68/1.11 , n0 ), ~( value( in( Y, X ), n0 ) ) ] )
% 0.68/1.11 , 3, clause( 386, [ value( in( n1, and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, and2( h2( f( n2, a ) ) ) ), :=( Y, n1 )] ),
% 0.68/1.11 substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 596, [ ~( type( and2( h2( f( n2, a ) ) ), and ) ), value( out( n1,
% 0.68/1.11 and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 595, [ ~( mode( and2( h2( f( n2, a ) ) ), ok ) ), ~( type( and2(
% 0.68/1.11 h2( f( n2, a ) ) ), and ) ), value( out( n1, and2( h2( f( n2, a ) ) ) ),
% 0.68/1.11 n0 ) ] )
% 0.68/1.11 , 0, clause( 98, [ mode( and2( h2( f( n2, a ) ) ), ok ) ] )
% 0.68/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 389, [ value( out( n1, and2( h2( f( n2, a ) ) ) ), n0 ), ~( type(
% 0.68/1.11 and2( h2( f( n2, a ) ) ), and ) ) ] )
% 0.68/1.11 , clause( 596, [ ~( type( and2( h2( f( n2, a ) ) ), and ) ), value( out( n1
% 0.68/1.11 , and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.68/1.11 ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 597, [ value( out( n1, and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 389, [ value( out( n1, and2( h2( f( n2, a ) ) ) ), n0 ), ~( type(
% 0.68/1.11 and2( h2( f( n2, a ) ) ), and ) ) ] )
% 0.68/1.11 , 1, clause( 92, [ type( and2( h2( f( n2, a ) ) ), and ) ] )
% 0.68/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 391, [ value( out( n1, and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 597, [ value( out( n1, and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 598, [ value( out( c, h2( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 291, [ value( out( c, h2( f( n2, a ) ) ), X ), ~( value( out( n1
% 0.68/1.11 , and2( h2( f( n2, a ) ) ) ), X ) ) ] )
% 0.68/1.11 , 1, clause( 391, [ value( out( n1, and2( h2( f( n2, a ) ) ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 403, [ value( out( c, h2( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 598, [ value( out( c, h2( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 599, [ value( in( n1, or1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 207, [ value( in( n1, or1( f( n2, a ) ) ), X ), ~( value( out( c
% 0.68/1.11 , h2( f( n2, a ) ) ), X ) ) ] )
% 0.68/1.11 , 1, clause( 403, [ value( out( c, h2( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 404, [ value( in( n1, or1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , clause( 599, [ value( in( n1, or1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 601, [ ~( value( in( n1, or1( f( n2, a ) ) ), X ) ), 'equal_value'(
% 0.68/1.11 X, n0 ) ] )
% 0.68/1.11 , clause( 2, [ ~( value( X, Y ) ), 'equal_value'( Y, Z ), ~( value( X, Z )
% 0.68/1.11 ) ] )
% 0.68/1.11 , 2, clause( 404, [ value( in( n1, or1( f( n2, a ) ) ), n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [ :=( X, in( n1, or1( f( n2, a ) ) ) ), :=( Y, X ),
% 0.68/1.11 :=( Z, n0 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 407, [ 'equal_value'( X, n0 ), ~( value( in( n1, or1( f( n2, a ) )
% 0.68/1.11 ), X ) ) ] )
% 0.68/1.11 , clause( 601, [ ~( value( in( n1, or1( f( n2, a ) ) ), X ) ),
% 0.68/1.11 'equal_value'( X, n0 ) ] )
% 0.68/1.11 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 0.68/1.11 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 602, [ value( in( n1, or1( f( n2, a ) ) ), n1 ), value( in( n2, or1(
% 0.68/1.11 f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , clause( 343, [ value( in( n1, or1( f( n2, a ) ) ), n1 ), value( in( n2,
% 0.68/1.11 or1( f( n2, a ) ) ), n1 ), ~( type( or1( f( n2, a ) ), or ) ) ] )
% 0.68/1.11 , 2, clause( 85, [ type( or1( f( n2, a ) ), or ) ] )
% 0.68/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 440, [ value( in( n2, or1( f( n2, a ) ) ), n1 ), value( in( n1, or1(
% 0.68/1.11 f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , clause( 602, [ value( in( n1, or1( f( n2, a ) ) ), n1 ), value( in( n2,
% 0.68/1.11 or1( f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.68/1.11 ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 603, [ 'equal_value'( n1, n0 ), value( in( n2, or1( f( n2, a ) ) )
% 0.68/1.11 , n1 ) ] )
% 0.68/1.11 , clause( 407, [ 'equal_value'( X, n0 ), ~( value( in( n1, or1( f( n2, a )
% 0.68/1.11 ) ), X ) ) ] )
% 0.68/1.11 , 1, clause( 440, [ value( in( n2, or1( f( n2, a ) ) ), n1 ), value( in( n1
% 0.68/1.11 , or1( f( n2, a ) ) ), n1 ) ] )
% 0.68/1.11 , 1, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 604, [ 'equal_value'( n1, n0 ), 'equal_value'( n1, n0 ) ] )
% 0.68/1.11 , clause( 385, [ 'equal_value'( X, n0 ), ~( value( in( n2, or1( f( n2, a )
% 0.68/1.11 ) ), X ) ) ] )
% 0.68/1.11 , 1, clause( 603, [ 'equal_value'( n1, n0 ), value( in( n2, or1( f( n2, a )
% 0.68/1.11 ) ), n1 ) ] )
% 0.68/1.11 , 1, substitution( 0, [ :=( X, n1 )] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 factor(
% 0.68/1.11 clause( 605, [ 'equal_value'( n1, n0 ) ] )
% 0.68/1.11 , clause( 604, [ 'equal_value'( n1, n0 ), 'equal_value'( n1, n0 ) ] )
% 0.68/1.11 , 0, 1, substitution( 0, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 441, [ 'equal_value'( n1, n0 ) ] )
% 0.68/1.11 , clause( 605, [ 'equal_value'( n1, n0 ) ] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 resolution(
% 0.68/1.11 clause( 606, [] )
% 0.68/1.11 , clause( 4, [ ~( 'equal_value'( n1, n0 ) ) ] )
% 0.68/1.11 , 0, clause( 441, [ 'equal_value'( n1, n0 ) ] )
% 0.68/1.11 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 subsumption(
% 0.68/1.11 clause( 445, [] )
% 0.68/1.11 , clause( 606, [] )
% 0.68/1.11 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 end.
% 0.68/1.11
% 0.68/1.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.11
% 0.68/1.11 Memory use:
% 0.68/1.11
% 0.68/1.11 space for terms: 8527
% 0.68/1.11 space for clauses: 31486
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 clauses generated: 582
% 0.68/1.11 clauses kept: 446
% 0.68/1.11 clauses selected: 398
% 0.68/1.11 clauses deleted: 10
% 0.68/1.11 clauses inuse deleted: 0
% 0.68/1.11
% 0.68/1.11 subsentry: 367
% 0.68/1.11 literals s-matched: 228
% 0.68/1.11 literals matched: 145
% 0.68/1.11 full subsumption: 0
% 0.68/1.11
% 0.68/1.11 checksum: 1728086795
% 0.68/1.11
% 0.68/1.11
% 0.68/1.11 Bliksem ended
%------------------------------------------------------------------------------